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Representation-of-integers

Ullong-from-integer

Constructor for values of type unsigned long long.

Signature
(ullong-from-integer get) → y
Arguments: get — Guard (ullong-integerp get).
Returns: y — Type (ullongp y).

Definitions and Theorems

Function: ullong-from-integer

(defun ullong-from-integer (get)
  (declare (xargs :guard (ullong-integerp get)))
  (let ((__function__ 'ullong-from-integer))
    (declare (ignorable __function__))
    (b* ((get (mbe :logic (ullong-integer-fix get)
                   :exec get)))
      (cons :ullong (list get)))))

Theorem: ullongp-of-ullong-from-integer

(defthm ullongp-of-ullong-from-integer
  (b* ((y (ullong-from-integer get)))
    (ullongp y))
  :rule-classes :rewrite)

Theorem: ullong-from-integer-of-ullong-integer-fix-get

(defthm ullong-from-integer-of-ullong-integer-fix-get
  (equal (ullong-from-integer (ullong-integer-fix get))
         (ullong-from-integer get)))

Theorem: ullong-from-integer-ullong-integer-equiv-congruence-on-get

(defthm ullong-from-integer-ullong-integer-equiv-congruence-on-get
  (implies (ullong-integer-equiv get get-equiv)
           (equal (ullong-from-integer get)
                  (ullong-from-integer get-equiv)))
  :rule-classes :congruence)